(2)已知(x+y)^2=31,(x-y)^2=19,求X^2+y^2及xy的值.

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(2)已知(x+y)^2=31,(x-y)^2=19,求X^2+y^2及xy的值.(2)已知(x+y)^2=31,(x-y)^2=19,求X^2+y^2及xy的值.(2)已知(x+y)^2=31,(x

(2)已知(x+y)^2=31,(x-y)^2=19,求X^2+y^2及xy的值.
(2)已知(x+y)^2=31,(x-y)^2=19,求X^2+y^2及xy的值.

(2)已知(x+y)^2=31,(x-y)^2=19,求X^2+y^2及xy的值.
x2+y2+2xy=31x2+y2-2xy=19两式相加得:2x2+2y2=31+19=50x2+y2=25两式相减得:4xy=31-19=12xy=3